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@ARTICLE{Kipp:1029020,
      author       = {Kipp, Jonathan and Lux, Fabian R and Pürling, Thorben and
                      Morrison, Abigail and Blügel, Stefan and Pinna, Daniele and
                      Mokrousov, Yuriy},
      title        = {{M}achine learning inspired models for {H}all effects in
                      non-collinear magnets},
      journal      = {Machine learning: science and technology},
      volume       = {5},
      number       = {2},
      issn         = {2632-2153},
      address      = {Bristol},
      publisher    = {IOP Publishing},
      reportid     = {FZJ-2024-04938},
      pages        = {025060 -},
      year         = {2024},
      abstract     = {The anomalous Hall effect has been front and center in
                      solid state research and material science forover a century
                      now, and the complex transport phenomena in nontrivial
                      magnetic textures havegained an increasing amount of
                      attention, both in theoretical and experimental studies.
                      However, a clear path forward to capturing the influence of
                      magnetization dynamics on anomalous Hall effect even in
                      smallest frustrated magnets or spatially extended magnetic
                      textures is still intensively sought after. In this work, we
                      present an expansion of the anomalous Hall tensor into
                      symmetrically invariant objects, encoding the magnetic
                      configuration up to arbitrary power of spin. We show that
                      these symmetric invariants can be utilized in conjunction
                      with advanced regularization techniques in order to build
                      models for the electric transport in magnetic textures which
                      are, on one hand, complete with respect to the point group
                      symmetry of the underlying lattice, and on the other hand,
                      depend on a minimal number of order parameters only. Here,
                      using a four-band tight-binding model on a honeycomb
                      lattice, we demonstrate that the developed method can be
                      used to address the importance and properties of
                      higher-order contributions to transverse transport. The
                      efficiency and breadth enabled by this method provides an
                      ideal systematic approach to tackle the inherent complexity
                      of response properties of noncollinear magnets, paving the
                      way to the exploration of electric transport in
                      intrinsically frustrated magnets as well as large-scale
                      magnetic textures.},
      cin          = {PGI-1 / IAS-6 / INM-6},
      ddc          = {621.3},
      cid          = {I:(DE-Juel1)PGI-1-20110106 / I:(DE-Juel1)IAS-6-20130828 /
                      I:(DE-Juel1)INM-6-20090406},
      pnm          = {5211 - Topological Matter (POF4-521) / DFG project
                      437337265 - Spin+AFM-Dynamik: Antiferromagnetismus durch
                      Drehimpulsströme und Gitterdynamik (A11) (437337265) / DFG
                      project 444844585 - Statische und dynamische Kopplung von
                      Gitter- und magnetischen Eigenschaften in zweidimensionalen
                      Materialien mit niedriger Symmetrie (B06) (444844585) / 3D
                      MAGiC - Three-dimensional magnetization textures: Discovery
                      and control on the nanoscale (856538) / DFG project
                      403235169 - Magnetochirale Transporteffekte in Skyrmionen
                      (403235169)},
      pid          = {G:(DE-HGF)POF4-5211 / G:(GEPRIS)437337265 /
                      G:(GEPRIS)444844585 / G:(EU-Grant)856538 /
                      G:(GEPRIS)403235169},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:001248895600001},
      doi          = {10.1088/2632-2153/ad51ca},
      url          = {https://juser.fz-juelich.de/record/1029020},
}